• SJSU Singular Matrix Database
  • Matrix group: Barabasi
  • Click here for a description of the Barabasi group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: Barabasi/NotreDame_yeast
  • Description: CCNR network: Barabasi's yeast protein interaction
  • download as a MATLAB mat-file, file size: 26 KB. Use SJget(37) or SJget('Barabasi/NotreDame_yeast') in MATLAB.
  • download in Matrix Market format, file size: 9 KB.
  • download in Rutherford/Boeing format, file size: 8 KB.

    Barabasi/NotreDame_yeast

    Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

    Barabasi/NotreDame_yeast

    scc of Barabasi/NotreDame_yeast

    Matrix properties (click for a legend)  
    number of rows2,114
    number of columns2,114
    structural full rank?no
    structural rank1,273
    numerical rank 1,263
    dimension of the numerical null space851
    numerical rank / min(size(A))0.59745
    Euclidean norm of A 7.5412
    calculated singular value # 12630.048479
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.8776e-012
    calculated singular value # 12648.0166e-015
    gap in the singular values at the numerical rank:
    singular value # 1263 / singular value # 1264
    6.0473e+012
    calculated condition numberInf
    condestInf
    nonzeros4,480
    # of blocks from dmperm649
    # strongly connected comp.417
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorH. Jeong, S. Mason, A. Barabasi, Z. Oltvai
    editorH. Jeong
    date2001
    kindundirected graph
    2D/3D problem?no
    SJid37
    UFid1,511

    Notes:

    http://www.nd.edu/~networks
    

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))6,653 7,896
    Cholesky flop count7.8e+004 1.3e+005
    nnz(L+U), no partial pivoting11,192 13,678
    nnz(V) for QR, upper bound nnz(L) for LU64,010 64,743
    nnz(R) for QR, upper bound nnz(U) for LU35,098 38,317

    Maintained by Leslie Foster, last updated 24-Apr-2009.

    Entries 5 through 14 in the table of matrix properties and the singular
    value plot were created using SJsingular code. The other plots
    and statistics are produced using utilities from the SuiteSparse package.
    Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.